A New School District Superintendent Was Preparing to Reallocate Resources

Essay

A new school district superintendent was preparing to reallocate resources for physically impaired students. He wanted to know if the schools in his district differed in the distribution of physically impaired students. He tested samples of 20 students from each of his five schools. He found 4 impaired (and 16 unimpaired)students at School 1; 1 impaired (and 19 unimpaired)at School 2; 6 (and 14)at School 3; 3 (and 17)at School 4; and 7 (and 13)at School 5.
Do these data suggest that the distribution of physically impaired students is different at different schools? (Use the .01 significance level.)
a. Use the five steps of hypothesis testing.
b. Sketch the chi-square distribution.
c. Explain the logic of what you have done.
d. Figure a measure of effect size and indicate whether it is small, medium, or large.
e. Figure the approximate power.